Dressing phases of AdS3/CFT2

Abstract

We determine the all-loop dressing phases of the AdS3/CFT2 integrable system related to type IIB string theory on AdS3 x S3 x T4 by solving the recently found crossing relations and studying their singularity structure. The two resulting phases present a novel structure with respect to the ones appearing in AdS5/CFT4 and AdS4/CFT3. In the strongly-coupled regime, their leading order reduces to the universal Arutyunov-Frolov-Staudacher phase as expected. We also compute their sub-leading order and compare it with recent one-loop perturbative results, and comment on their weak-coupling expansion.

29 pages, 4 figures; v2: note added, minor changes

References in corpus (25)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Quantum corrections to the string Bethe ansatz
• On String S-matrix, Bound States and TBA
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• On AdS_5 x S^5 String S-matrix
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• On the Singularities of the Magnon S-matrix
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• A Universality Test of the Quantum String Bethe Ansatz
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• Search for narrow resonances and quantum black holes in inclusive and b-tagged dijet mass spectra from pp collisions at sqrt(s) = 7 TeV
• S-matrix for magnons in the D1-D5 system
• Two-dimensional S-matrices from unitarity cuts
• Constructing the AdS/CFT dressing factor
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• Minimal solution of the AdS/CFT crossing equation

Cited by in corpus (64)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Strings on NS-NS Backgrounds as Integrable Deformations
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Towards integrability for AdS3/CFT2
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• $T\bar{T}$ deformations and integrable spin chains
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• New Dressing Factors for AdS3/CFT2
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux
• Lectures on S-matrices and Integrability
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• The AdS(n) x S(n) x T(10-2n) BMN string at two loops
• Yangian of AdS3/CFT2 and its deformation
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Yangian Symmetry of String Theory on $Ad{S}_3\times S^3\times S^3\times S^1$ with Mixed 3-form Flux
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• Generalized $\lambda$-deformations of AdS_p x S^p
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Massless S matrices for AdS3/CFT2
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Integrable Deformations of the XXZ Spin Chain
• Pulsating strings with mixed three-form flux
• An improved AFS phase for AdS3 string integrability
• Integrable strings for AdS/CFT
• Integrable bootstrap for AdS3/CFT2 correlation functions
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix
• Scalar fields on λ-deformed cosets
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Analytical Structure of the Generalized $\lambda -$deformation
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Boost generator in AdS_3 integrable superstrings for general braiding
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• A study of integrable form factors in massless relativistic AdS_3
• On N-spike strings in conformal gauge with NS-NS fluxes
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• Geometry of Massless Scattering in Integrable Superstring
• Norms and scalar products for AdS_3
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix
• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field